Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410o |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
440510634250 = 2 · 53 · 176 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7299335,-7591155025] |
[a1,a2,a3,a4,a6] |
j |
43010412075172636325875441/440510634250 |
j-invariant |
L |
4.9598950863819 |
L(r)(E,1)/r! |
Ω |
0.091849909007072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280v2 111690j2 62050g2 |
Quadratic twists by: -4 -3 5 |